133288344 has 192 divisors, whose sum is σ = 449280000. Its totient is φ = 34836480.

The previous prime is 133288343. The next prime is 133288357. The reversal of 133288344 is 443882331.

It is a happy number.

133288344 is a `hidden beast` number, since 1 + 33 + 288 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133288299 and 133288308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133288343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296632 + ... + 297080.

It is an arithmetic number, because the mean of its divisors is an integer number (2340000).

Almost surely, 2^133288344 is an apocalyptic number.

133288344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133288344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640000).

133288344 is an abundant number, since it is smaller than the sum of its proper divisors (315991656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133288344 is a wasteful number, since it uses less digits than its factorization.

133288344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 133288344 is about 11545.0571241549. The cubic root of 133288344 is about 510.8154888810.

It can be divided in two parts, 1332 and 88344, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 133288344 in words is "one hundred thirty-three million, two hundred eighty-eight thousand, three hundred forty-four".